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Hybrid Interior Ideals in Ordered Semigroups
- Authors
- Porselvi, K.; Elavarasan, B.; Jun, Y. B.
- Issue Date
- Mar-2022
- Publisher
- World Scientific Publishing Co.
- Keywords
- Ordered semigroup; hybrid structure; hybrid ideal; hybrid interior ideal; hybrid simple
- Citation
- New Mathematics and Natural Computation, v.18, no.01, pp 1 - 8
- Pages
- 8
- Indexed
- SCOPUS
ESCI
- Journal Title
- New Mathematics and Natural Computation
- Volume
- 18
- Number
- 01
- Start Page
- 1
- End Page
- 8
- ISSN
- 1793-0057
1793-7027
- Abstract
- We are fully aware that an ordered semigroup has a very close relation with theoretical computer science, especially with the theory of pattern recognition, decision processes, artificial intelligence, information retrieval and so on. We are eager to introduce the new concepts of hybrid interior ideals and hybrid simple in an ordered semigroup in this paper. We discuss characteristic hybrid structures using ideals and interior ideals, and characterize ordered semigroup in terms of different hybrid ideal structures. Further, we establish the equivalent. condition for an ordered semigroup to be simple.
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